125524575 has 72 divisors (see below), whose sum is σ = 251452656. Its totient is φ = 59328000.

The previous prime is 125524543. The next prime is 125524579. The reversal of 125524575 is 575425521.

125524575 is a `hidden beast` number, since 12 + 55 + 24 + 575 = 666.

It is not a de Polignac number, because 125524575 - 2⁵ = 125524543 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125524579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100857 + ... + 102093.

It is an arithmetic number, because the mean of its divisors is an integer number (3492398).

Almost surely, 2^125524575 is an apocalyptic number.

125524575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125524575 is an abundant number, since it is smaller than the sum of its proper divisors (125928081).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125524575 is a wasteful number, since it uses less digits than its factorization.

125524575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its digits is 70000, while the sum is 36.

The square root of 125524575 is about 11203.7750334430. The cubic root of 125524575 is about 500.6984571941.

It can be divided in two parts, 1255245 and 75, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 125524575 in words is "one hundred twenty-five million, five hundred twenty-four thousand, five hundred seventy-five".